An inequality between the permanent and the determinant

Gibson, P. M.

doi:10.1090/S0002-9939-1968-0229660-7

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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An inequality between the permanent and the determinant
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by P. M. Gibson

Proc. Amer. Math. Soc. 19 (1968), 971-972

DOI: https://doi.org/10.1090/S0002-9939-1968-0229660-7

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References

R. A. Brualdi and M. Newman, Proof of a permanental inequality, Quart. J. Math. Oxford Ser. (2) 17 (1966), 234–238. MR 204445, DOI 10.1093/qmath/17.1.234
Peter M. Gibson, A short proof of an inequality for the permanent function, Proc. Amer. Math. Soc. 17 (1966), 535–536. MR 188240, DOI 10.1090/S0002-9939-1966-0188240-0
Marvin Marcus and Henryk Minc, Permanents, Amer. Math. Monthly 72 (1965), 577–591. MR 177000, DOI 10.2307/2313846